Do you have personal experience with fully private heathcare systems in other countries? I ask because reacting to criticism of your system with whataboutism concerning the US is not rational, that's a fallacious argument.
As for the US I'm not an expert but my gut feeling is that people compare apples to oranges just like with most of these international comparisons. Cost of living is much higher in the US first of all. Things are simply more expensive in general and American salaries are a lot higher for anyone moderately educated. No one I know who's moved to the US has any problems with insurance, they can simply afford it.
Now if you compare a government sponsored system in Germany with private insurance in the US, of course the former will be cheaper (be careful though, some of the real cost is hidden). But like mentioned you also get completely different treatment. Cost in the US could likely be cut by making the service worse. If you want to pay even less, have you looked at the Chinese system? Germans are massively overpaying in comparison to the PRC and it's ruining the middle class. /s Gotta sinophy your healthcare with 10 Yuan TCM pills for cancer treatments. Because cheap is apparently the goal when it comes to healthcare.
Btw, here's the kicker if you want to discuss price: With the top notch treatment you get in private South African clinics, people still pay less for their private insurance over there than the government mandated low quality one in Germany. I know because I've used both.
Dumb people exist in the US too - color me surprised. It's not about defending the US healthcare system, I'm sure there are enough issues worth criticizing. However almost every time one sees such reports it turns out the people were simply under-insured or outright uninsured if you actually bother to look at the details and not just the headline. So in Germany you have similar high bills, people are simply ignorant of this because the true cost is socialized and the tax payer pays for it. Have you never wondered how a fully privately insured person living a comparable lifestlye at the end of the month still has more disposable income in the US compared to Germany?
The teeth problem I'm aware of and find it quite unfair indeed.
Nonetheless cancer doesn't make you poor in comparison to the USA.
Still something which has to be fixed in Germany.
But you still have the option to go private if you want.